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17 November, 20:49

ou purchase a rectangular piece of metal that has dimen - sions 5.0 * 15.0 * 30.0 mm and mass 0.0158 kg. The seller tells you that the metal is gold. To check this, you compute the average density of the piece. What value do you get? Were you cheated?

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  1. 18 November, 00:34
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    Answer: 7022.2kg/m³, yes, I was cheated

    Explanation:

    Density of an object is defined as the ratio of the mass of the object to its volume. Mathematically;

    Density = Mass/Volume

    Note that the unit of both mass and volume must be standard unit.

    Given mass = 0.0158kg

    Dimension of the metal = 5mm*15mm*30mm

    Note that 1mm = 0.001m

    The volume of the metal will be

    0.005*0.015*0.03

    = 0.00000225m³

    Density = 0.0158/0.00000225

    Average density of the metal = 7022.2kg/m³

    Since the standard density of Gold is 19,320kg/m³ and is higher than the density prescribed for me, it shows the I was cheated.
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